已知sin(π-x)-cos(π-x)=√2/3 (π/2

已知函数f(x)=cos(2x-π/3)+sin^2 x-cos^2 x 已知函数f(x)=cos(2x-π\3)+sin²x-cos²x 已知函数f(x)=2cos(x+π/3)[sin(x+π/3)-√3cos(x+π/3)] 已知函数f(x)=(√3sinωx+cosωx)*sin(-3π/2+ωx)（0 已知函数f(x)= [sin(2π-x)sin(π+x)cos(-x-π)] ／[2cos(π-x)sin(3π-x)] 已知cos(π/2+x)=sin(x-π/2) 求sin^3(π-x)+cos(x+π)/5cos(5π/2-x)+3s 已知f(x) =sin^2 x +2sinx cos x + 3 cos^2 x ,x∈(0 ,π) . 已知函数f(x)=2cos(x-π/6)sin(x+π/6)-√3*(sin(x-π/6))^2+sin(x-π/6)c 已知sin(π-x)-cos(π-x)=√2/3 (π/2 已知f(x)=-1/2+sin(π/6-2x)+cos(2x-π/3）+cos平方x. 已知函数f(x)=cos(2x-π/3)+2sin(x-π/4)sin(x+π/4) 化简：1、sin(x-π/3)-cos(x+π/6)+√3cosx=?2、已知,sinα+sinβ=√2/2,求cosα